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Mathematics

Compute:

[13]4÷[13]8×[13]5\Big[-\dfrac{1}{3}\Big]^4 ÷ \Big[-\dfrac{1}{3}\Big]^8 \times \Big[-\dfrac{1}{3}\Big]^5

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[13]4÷[13]8×[13]5=[13]48+5=[13]1=13\Big[-\dfrac{1}{3}\Big]^4 ÷ \Big[-\dfrac{1}{3}\Big]^8 \times \Big[-\dfrac{1}{3}\Big]^5\\[1em] = \Big[-\dfrac{1}{3}\Big]^{4-8+5}\\[1em] = \Big[-\dfrac{1}{3}\Big]^1\\[1em] = -\dfrac{1}{3}

[13]4÷[13]8×[13]5=13\Big[-\dfrac{1}{3}\Big]^4 ÷ \Big[-\dfrac{1}{3}\Big]^8 \times \Big[-\dfrac{1}{3}\Big]^5 = -\dfrac{1}{3}

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